Question

Use f(x) and g(x) to answer the question. f(x)=x−1g(x)=x2+3x−9 What is the product (f⋅g)(x)?

Answer 1

Answer:

x³ + 2x² - 12x + 9

Explanation:

The functions are

f(x) = x - 1

g(x) = x² + 3x - 9

Then, the product (f·g)(x) = f(x)g(x), so replacing the expressions above, we get

(f·g)(x) = (x - 1)(x² + 3x - 9)

(f·g)(x) = x(x²) + x(3x) + x(-9) - 1(x²) - 1(3x) - 1(-9)

(f·g)(x) = x³ + 3x² - 9x - x² - 3x + 9

(f·g)(x) = x³ + 2x² - 12x + 9

Therefore, the answer is

x³ + 2x² - 12x + 9